Finding the Fourth Proportional to 10,015.60, 13,820.31 and 5,538.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.60 : 13,820.31 = 5,538.73 : x
2. Step 2: Convert to fraction form
   10,015.60/13,820.31 = 5,538.73/x
3. Step 3: Cross multiply
   10,015.60x = 13,820.31 × 5,538.73
4. Step 4: Simplify right side
   10,015.60x = 76,546,965.61
5. Step 5: Solve for x
   x = 76,546,965.61/10,015.60
6. Step 6: Final answer
   x = 7,642.77